” CSC1001编程设计 写作、 辅导Python程序CSC1001: Introduction to Computer ScienceProgramming MethodologyAssignment 2Assignment description:This assignment will be worth 8% of the final grade.You should write your code for each question in a .py file (please name it using the questionname, e.g. q1.py). Please pack all your .py files into a single .zip file, name it using yourstudent ID (e.g. if your student ID is 123456, then the file should be named as 123456.zip),and then submit the .zip file via Blackboard.Please also write a text file, Which provide the details about your code. (Note that thereport should be submitted as PDF) The report should be included in the .zip file as well.Please note that, the teaching assistant may ask you to explain the meaning of yourprogram, to ensure that the codes are indeed written by yourself. Plagiarism will not betolerated. We may check your code using Blackboard.This assignment is due on 5:00PM, 3 April (Saturday). For each day of late submission, youwill lose 10% of your mark in this assignment. If you submit more than three days laterthan the deadline, you will receive zero in this assignment.Question 1 (10% of this assignment):(Math: approximate the square root) There are several techniques for implementing thesqrt function in the math module. One such technique is known as the Babylonian function.It approximates the square root of a number, n, by repeatedly performing a calculationusing the following formula:nextGuess = (lastGuess + (n / lastGuess)) / 2When nextGuess and lastGuess are almost identical, nextGuess is the approximatedsquare root. The initial guess can be any positive value (e.g., 1). This value will be thestarting value for lastGuess. If the difference between nextGuess and lastGuessis less thana very small number, such as 0.0001, you can claim that nextGuess is the approximatedsquare root of n. If not, nextGuess becomes lastGuess and the approximation processcontinues. Implement the following function that returns the square root of n.def sqrt(n):Write a program that prompts the User to enter a positive number and output theapproximation of its square root.Question 2 (15% of this assignment):(Emirp) An emirp (prime spelled backward) is a nonpalindromic prime number whosereversal is also a prime. For example, both 17 and 71 are prime numbers, so 17 and 71 areemirps. Write a program that displays the first 100 emirps. Display 10 numbers per lineand align the numbers properly, as follows:Question 3 (15% of this assignment):(Financial: credit card number validation) Credit card numbers follow certain patterns: Itmust have between 13 and 16 digits, and the number must start with:■ 4 for Visa cards■ 5 for MasterCard credit cards■ 37 for American Express cards■ 6 for Discover cardsIn 1954, Hans Luhn of IBM proposed an algorithm for validating credit card numbers. Thealgorithm is useful to determine whether a card number is entered correctly or whether acredit card is scanned correctly by a scanner. Credit card numbers are generated followingthis validity check, commonly known as the Luhn check or the Mod 10 check, which can bedescribed as follows (for illustration, consider the card number 4388576018402626):1. Double every second digit from right to left. If doubling of a digit results in a twodigitnumber, add up the two digits to get a single-digit number.2. Now add all single-digit numbers from Step 1.4 + 4 + 8 + 2 + 3 + 1 + 7 + 8 = 373. Add all digits in the odd places from right to left in the card number.6 + 6 + 0 + 8 + 0 + 7 + 8 + 3 = 384. Sum the results from Steps 2 and 3.37 + 38 = 755. If the result from Step 4 is Divisible by 10, the card number is valid; otherwise, it isinvalid. For example, the number 4388576018402626 is invalid, but the number4388576018410707 is valid.Write a program that prompts the user to enter a credit card number as an integer. Displaywhether the number is valid or invalid. Design your program to use the following functions:Question 4 (15% of this assignment):(Anagrams) Write a function that checks whether two words are anagrams. Two words areanagrams if they contain the same letters. For example, silent and listen are anagrams. Theheader of the function is:def isAnagram(s1, s2):(Hint: Obtain two lists for the two strings. Sort the lists and check if two lists are identical.)Write a test program that prompts the user to enter two strings and, if they are anagrams,displays is an anagram; otherwise, it displaysis not an anagram. You dont need to checkthe existence of the words.Question 5 (20% of this assignment):(Game: locker puzzle) A school has 100 lockers and 100 students. All lockers are closed onthe first day of school. As the students enter, the first student, denoted S1, opens everylocker. Then the second student, S2, begins with the second locker, denoted L2, and closesevery other locker. (which means 1,3,5,7 are opened and 2,4,6,8 are closed.) StudentS3 begins with the third locker And changes every third locker (closes it if it was open, andopens it if it was closed). Student S4 begins with locker L4 and changes every fourth locker.Student S5 starts with L5 and changes every fifth locker, and so on, until student S100changes L100.After all the students have passed through the building and changed the lockers, whichlockers are open? Write a program to find your answer.(Hint: Use a list of 100 Boolean elements, each of which indicates whether a locker is open(True) or closed (False). Initially, all lockers are closed.)Question 6 (25% of this assignment):(Game: Eight Queens) The classic Eight Queens puzzle is to place eight queens on achessboard (8*8) such that no Two queens can attack each other (i.e., no two queens arein the same row, same column, or same diagonal). There are many possible solutions.Write a program that displays one such solution. A sample output is shown below:Note: you cannot just pre-define a solution and display it.Please use algorithm to display a possible solution.请加QQ：99515681 或邮箱：99515681@qq.com WX：codehelp
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